Partial order generalized Marcum Q-function contour integral representation

被引：7

作者：

Gvozdarev, A. S. ^{[1
]}

机构：

[1] PG Demidov Yaroslavl State Univ, Sovietskaya 14, Yaroslavl, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2017年 / 28卷 / 11期

关键词：

Generalized Marcum Q-function; contour integral; Laplace transform; energy detection; probability of detection; Rayleigh fading; COMMUNICATION-THEORY; ENERGY DETECTION; FADING CHANNELS; KAPPA-MU;

D O I：

10.1080/10652469.2017.1381091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new contour integral representation of generalized Marcum Q-function is presented. The obtained expression is valid for an arbitrary positive order of the function and for a specific case of integer order yields a well known result. As an example of practical application the problem of energy base signal detection in presence of fading is considered. A novel closed form analytic expression for an average probability of detection for various channel models is obtained.

引用

页码：876 / 887

页数：12

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